Quiz : Les fondamentaux des mathématiques en seconde

Question 1 sur 10 10:00

[{"id":40295,"question":"Quelle est la solution de l'équation 2x - 5 = 7 ?","option_a":"x = 1","option_b":"x = 6","option_c":"x = 4","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"C","explication":"Résolvez l'équation : 2x = 7 + 5 → 2x = 12 → x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40296,"question":"La fonction f(x) = x² est-elle toujours croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction est décroissante pour x \u003C 0 et croissante pour x \u003E 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40297,"question":"Quel est le discriminant d'un polynôme du second degré ax² + bx + c ?","option_a":"Δ = b² - 4ac","option_b":"Δ = b² + 4ac","option_c":"Δ = 2b - 4ac","option_d":"Δ = b - 4ac","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant est donné par la formule Δ = b² - 4ac.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40298,"question":"Un triangle rectangle a des côtés de longueurs 3, 4 et 5. Quel est l'angle opposé au côté de longueur 5 ?","option_a":"30°","option_b":"45°","option_c":"60°","option_d":"90°","option_e":"","option_f":"","bonne_reponse":"D","explication":"Le côté de longueur 5 est l'hypoténuse, donc l'angle opposé est de 90°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40299,"question":"La dérivée de la fonction f(x) = 3x³ est-elle f'(x) = 9x² ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 3x³ est bien f'(x) = 9x².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40300,"question":"Quelle est la valeur de sin(π\/2) ?","option_a":"0","option_b":"1","option_c":"-1","option_d":"1\/2","option_e":"","option_f":"","bonne_reponse":"B","explication":"sin(π\/2) = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40301,"question":"Un cercle a un rayon de 5 cm. Quelle est son aire ?","option_a":"25π cm²","option_b":"10π cm²","option_c":"5π cm²","option_d":"15π cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un cercle est πr² = π × 5² = 25π cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40302,"question":"La fonction f(x) = 1\/x est-elle définie en x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40303,"question":"Quel est le résultat de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 5x - 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développez : (x + 2)(x - 3) = x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40304,"question":"La somme des angles d'un triangle est-elle toujours égale à 180° ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans un triangle, la somme des angles est toujours de 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]